Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem

2006/07/31 by Chelkak, Dmitry, Korotyaev, Evgeny · 3 citations
#34A55 #34B24 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.math/0607810

Abstract

We obtain a parametrization of the isospectral set of matrix-valued potentials for the vector-valued Sturm-Liouville problem on a finite interval.

Cited by

• Estimates, asymptotics and trace formulas for periodic vector NLS equations, II
• Inverse problems for ZS-operators and their isomorphisms
• Uniform stability for the matrix inverse Sturm-Liouville problems

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